12971 has 8 divisors (see below), whose sum is σ = 15840. Its totient is φ = 10368.

The previous prime is 12967. The next prime is 12973. The reversal of 12971 is 17921.

12971 = 40² + 41² + ... + 46².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12971 - 2² = 12967 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2¹²⁹⁷¹ is an apocalyptic number.

12971 is a deficient number, since it is larger than the sum of its proper divisors (2869).

12971 is a wasteful number, since it uses less digits than its factorization.

12971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133.

The product of its digits is 126, while the sum is 20.

The square root of 12971 is about 113.8902980943. The cubic root of 12971 is about 23.4958495764.

Subtracting 12971 from its reverse (17921), we obtain a triangular number (4950 = T₉₉).

The spelling of 12971 in words is "twelve thousand, nine hundred seventy-one".